BSOD at random, sometimes right after boot

Machine randomly blue screens giving different errors each time (0x1a,0x1e,0x19,0x3b). I turned on verifier according to the settings I've seen posted in this thread and attached is a ZIP of all of the information requested in the sticky. (It hasn't crashed since I turned on verifier but I will post the zip again when/if it does.

Computer information is:
OS: Windows 7 Ultimate x64
CPU: AMD Athlon(tm) II X4 640 Processor 3.00 GHz
Motherboard: ASUS M4A87TD/USB3 AM3 AMD 870 SATA 6Gb/s USB 3.0 ATX AMD Mot
Memory: 8GB kit 2-4GB DDR3 - 1333 (PC3 10600) UDIMM 1.35V 240pin
Graphics Card(s): ATI radeon hd 5770
Hard Drives: 1 Western digital 500GB
PSU: CORSAIR Builder Series CX600 (CMPSU-600CX) 600W ATX12V v2.3
Case: XION Solaris XON-403 Black with Green LED Light Steel ATX Miin
Thank you for your help

None of these were with verifier enabled. Please type verifier query after you have enabled it and upload the snip to us

I'm not exactly sure what you meant by your post, but here is what I did.

I enabled verifier with the help of this thread: Driver Verifier - Enable and Disable

After restarting I ran "verifier /log" and then ran "verifier /query". Attached is the log I think it generated.

Thank you and if you need anything else let me know.

Attached is the most recent minidump from a bluescreen I got right after starting windows.

The computer blue screened again. Attached is the folder from the jcgriff program. It gave error code 0x000007e and verifier was on.

Tippy said:

The computer blue screened again. Attached is the folder from the jcgriff program. It gave error code 0x000007e and verifier was on.

Newest crash was related to netio.sys Usually that is from your malware app, or malware

What malware app and firewall?

I've switched between avg and mse but have gotten crashes and error messages relating to both of them so I uninstalled them both. Right now I have none installed but I ran Malwarebytes full scan yesterday so I'm pretty sure my computer is clean.

BSOD again with the error code 0x0000003b, attached is the minidump log.

Is there any way to see if my motherboard is broken and I need a new one? Would a clean install of windows fix this?

Tippy said:

BSOD again with the error code 0x0000003b, attached is the minidump log.

Is there any way to see if my motherboard is broken and I need a new one? Would a clean install of windows fix this?

Memory exception Related to atikmpag.sys AMD multi-vendor Miniport Driver from Advanced Micro Devices, Inc.

I would re-install newest